I would say so, but I'd strongly recommend a demo and comparison with other amps. If you are near somewhere like Richer sounds then, I'd demo with a Roksan K3 and Arcam A15. Basically, visit a dealer and have a chat. A decent dealer won't want you to leave with something you are not happy about. Don't feel pressured to buy anything you are not sure about.
All those amps have good MM phono inputs, so you may find you do not need the Rega pre-amp, but you can decide for yourself.
From non-Richer sources, I'd add the Rega Elex Mk4.
I would not get too hung up about tone controls. If the amp is doing its job you probably don't need/want them. You probably should take a long a copy of an LP you normally tweak the sound of. Same mostly applies to the inclusion of digital outputs. You can ignore them if the amp is your preference.
Note that all those amps, except for the K3 (from Richer Sounds VIP offer) are over your stated budget, unless you know of a deal.